Atorque of magnitude t = 11 kn·m is applied to the end of a tank containing compressed air under a pressure of 8 mpa. knowing that the tank has a 180-mm inner diameter and a 12-mm wall thickness, determine the maximum normal stress and the maximum shearing stress in the tank. (round the final answers to one decimal place.)

Max Normal Stress,

Max Shear Stress,

Solution:

As per the question:

Torque, T = 11 kN.m = 11000 Nm

The inner diameter of the tank,

Thickness of the tank, t = 12 mm = 0.012 m

Pressure, P = 8 MPa =

Now,

Inner radius of the tank,

Outer radius of the tank,

Now,

To calculate the polar moment of inertia, J:

Now,

To calculate the shear stress at the surface end:

Now,

To calculate the stress at the outer end:

Now,

To calculate the value of the shear stress,

The resultant stress,

The overall resultant of all the stresses (all in MPa):

Now,

Max stress,

Minimum stress,

Now,

Maximum shear stress,

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force